2110112000 has 288 divisors, whose sum is σ = 5693635584. Its totient is φ = 777216000.

The previous prime is 2110111987. The next prime is 2110112009. The reversal of 2110112000 is 2110112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2110112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34591970 + ... + 34592030.

It is an arithmetic number, because the mean of its divisors is an integer number (19769568).

Almost surely, 2^2110112000 is an apocalyptic number.

2110112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846817792).

2110112000 is an abundant number, since it is smaller than the sum of its proper divisors (3583523584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110112000 is an equidigital number, since it uses as much as digits as its factorization.

2110112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110112000 is about 45935.9554162096. The cubic root of 2110112000 is about 1282.6313058477.

Adding to 2110112000 its reverse (2110112), we get a palindrome (2112222112).

2110112000 divided by its reverse (2110112) gives a cube (1000 = 10³).

The spelling of 2110112000 in words is "two billion, one hundred ten million, one hundred twelve thousand".